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Finding the Fourth Proportional to 83,997, 125,997.93 and 21,667.50

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Solution

The fourth proportional to 83,997, 125,997.93 and 21,667.50 is: 32,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,997 : 125,997.93 = 21,667.50 : x
  2. Step 2: Convert to fraction form
    83,997/125,997.93 = 21,667.50/x
  3. Step 3: Cross multiply
    83,997x = 125,997.93 × 21,667.50
  4. Step 4: Simplify right side
    83,997x = 2,730,060,148.28
  5. Step 5: Solve for x
    x = 2,730,060,148.28/83,997
  6. Step 6: Final answer
    x = 32,501.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.